#include "tiff.h"
#include "tif_fax3.h"
const TIFFFaxTabEnt TIFFFaxMainTable[128] = {
  12, 7, 0, 3, 1, 0, 5, 3, 1, 3, 1, 0, 2, 3, 0, 3, 1, 0, 4, 3, 1, 3, 1, 0, 1, 4, 0, 3, 1, 0, 5, 3, 1, 3, 1, 0,
  2, 3, 0, 3, 1, 0, 4, 3, 1, 3, 1, 0, 5, 6, 2, 3, 1, 0, 5, 3, 1, 3, 1, 0, 2, 3, 0, 3, 1, 0, 4, 3, 1, 3, 1, 0,
  1, 4, 0, 3, 1, 0, 5, 3, 1, 3, 1, 0, 2, 3, 0, 3, 1, 0, 4, 3, 1, 3, 1, 0, 5, 7, 3, 3, 1, 0, 5, 3, 1, 3, 1, 0,
  2, 3, 0, 3, 1, 0, 4, 3, 1, 3, 1, 0, 1, 4, 0, 3, 1, 0, 5, 3, 1, 3, 1, 0, 2, 3, 0, 3, 1, 0, 4, 3, 1, 3, 1, 0,
  4, 6, 2, 3, 1, 0, 5, 3, 1, 3, 1, 0, 2, 3, 0, 3, 1, 0, 4, 3, 1, 3, 1, 0, 1, 4, 0, 3, 1, 0, 5, 3, 1, 3, 1, 0,
  2, 3, 0, 3, 1, 0, 4, 3, 1, 3, 1, 0, 6, 7, 0, 3, 1, 0, 5, 3, 1, 3, 1, 0, 2, 3, 0, 3, 1, 0, 4, 3, 1, 3, 1, 0,
  1, 4, 0, 3, 1, 0, 5, 3, 1, 3, 1, 0, 2, 3, 0, 3, 1, 0, 4, 3, 1, 3, 1, 0, 5, 6, 2, 3, 1, 0, 5, 3, 1, 3, 1, 0,
  2, 3, 0, 3, 1, 0, 4, 3, 1, 3, 1, 0, 1, 4, 0, 3, 1, 0, 5, 3, 1, 3, 1, 0, 2, 3, 0, 3, 1, 0, 4, 3, 1, 3, 1, 0,
  4, 7, 3, 3, 1, 0, 5, 3, 1, 3, 1, 0, 2, 3, 0, 3, 1, 0, 4, 3, 1, 3, 1, 0, 1, 4, 0, 3, 1, 0, 5, 3, 1, 3, 1, 0,
  2, 3, 0, 3, 1, 0, 4, 3, 1, 3, 1, 0, 4, 6, 2, 3, 1, 0, 5, 3, 1, 3, 1, 0, 2, 3, 0, 3, 1, 0, 4, 3, 1, 3, 1, 0,
  1, 4, 0, 3, 1, 0, 5, 3, 1, 3, 1, 0, 2, 3, 0, 3, 1, 0, 4, 3, 1, 3, 1, 0
};

const TIFFFaxTabEnt TIFFFaxWhiteTable[4096] = {
  12, 11, 0, 7, 4, 3, 7, 5, 11, 7, 4, 5, 7, 6, 12, 7, 5, 9, 9, 6, 1664, 7, 4, 6, 7, 7, 20, 9, 5, 128, 7, 7, 24, 7, 6, 14,
  7, 7, 28, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 7, 23, 7, 4, 3, 7, 7, 27, 7, 4, 5, 7, 8, 39, 7, 6, 16, 9, 8, 576, 7, 4, 6,
  7, 7, 19, 7, 5, 8, 7, 8, 55, 9, 5, 64, 7, 5, 10, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 8, 45, 7, 4, 3, 7, 5, 11, 7, 4, 5,
  7, 8, 53, 7, 5, 9, 9, 8, 448, 7, 4, 6, 7, 8, 35, 9, 5, 128, 7, 8, 51, 7, 6, 15, 7, 8, 63, 7, 4, 4, 7, 4, 2, 7, 4, 7,
  7, 6, 13, 7, 4, 3, 9, 9, 1472, 7, 4, 5, 7, 8, 43, 7, 6, 17, 9, 9, 1216, 7, 4, 6, 7, 6, 1, 7, 5, 8, 9, 6, 192, 9, 5, 64,
  7, 5, 10, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 8, 29, 7, 4, 3, 7, 5, 11, 7, 4, 5, 7, 6, 12, 7, 5, 9, 9, 6, 1664, 7, 4, 6,
  7, 8, 33, 9, 5, 128, 7, 8, 49, 7, 6, 14, 7, 8, 61, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 8, 47, 7, 4, 3, 7, 8, 59, 7, 4, 5,
  7, 8, 41, 7, 6, 16, 9, 9, 960, 7, 4, 6, 7, 8, 31, 7, 5, 8, 7, 8, 57, 9, 5, 64, 7, 5, 10, 7, 4, 4, 7, 4, 2, 7, 4, 7,
  7, 7, 22, 7, 4, 3, 7, 5, 11, 7, 4, 5, 7, 7, 26, 7, 5, 9, 9, 9, 704, 7, 4, 6, 7, 8, 37, 9, 5, 128, 7, 7, 25, 7, 6, 15,
  9, 8, 320, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 6, 13, 7, 4, 3, 7, 7, 18, 7, 4, 5, 7, 7, 21, 7, 6, 17, 9, 7, 256, 7, 4, 6,
  7, 6, 1, 7, 5, 8, 9, 6, 192, 9, 5, 64, 7, 5, 10, 7, 4, 4, 7, 4, 2, 7, 4, 7, 11, 11, 1792, 7, 4, 3, 7, 5, 11, 7, 4, 5,
  7, 6, 12, 7, 5, 9, 9, 6, 1664, 7, 4, 6, 7, 7, 20, 9, 5, 128, 7, 7, 24, 7, 6, 14, 7, 7, 28, 7, 4, 4, 7, 4, 2, 7, 4, 7,
  7, 7, 23, 7, 4, 3, 7, 7, 27, 7, 4, 5, 7, 8, 40, 7, 6, 16, 9, 9, 832, 7, 4, 6, 7, 7, 19, 7, 5, 8, 7, 8, 56, 9, 5, 64,
  7, 5, 10, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 8, 46, 7, 4, 3, 7, 5, 11, 7, 4, 5, 7, 8, 54, 7, 5, 9, 9, 8, 512, 7, 4, 6,
  7, 8, 36, 9, 5, 128, 7, 8, 52, 7, 6, 15, 7, 8, 0, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 6, 13, 7, 4, 3, 9, 9, 1600, 7, 4, 5,
  7, 8, 44, 7, 6, 17, 9, 9, 1344, 7, 4, 6, 7, 6, 1, 7, 5, 8, 9, 6, 192, 9, 5, 64, 7, 5, 10, 7, 4, 4, 7, 4, 2, 7, 4, 7,
  7, 8, 30, 7, 4, 3, 7, 5, 11, 7, 4, 5, 7, 6, 12, 7, 5, 9, 9, 6, 1664, 7, 4, 6, 7, 8, 34, 9, 5, 128, 7, 8, 50, 7, 6, 14,
  7, 8, 62, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 8, 48, 7, 4, 3, 7, 8, 60, 7, 4, 5, 7, 8, 42, 7, 6, 16, 9, 9, 1088, 7, 4, 6,
  7, 8, 32, 7, 5, 8, 7, 8, 58, 9, 5, 64, 7, 5, 10, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 7, 22, 7, 4, 3, 7, 5, 11, 7, 4, 5,
  7, 7, 26, 7, 5, 9, 9, 8, 640, 7, 4, 6, 7, 8, 38, 9, 5, 128, 7, 7, 25, 7, 6, 15, 9, 8, 384, 7, 4, 4, 7, 4, 2, 7, 4, 7,
  7, 6, 13, 7, 4, 3, 7, 7, 18, 7, 4, 5, 7, 7, 21, 7, 6, 17, 9, 7, 256, 7, 4, 6, 7, 6, 1, 7, 5, 8, 9, 6, 192, 9, 5, 64,
  7, 5, 10, 7, 4, 4, 7, 4, 2, 7, 4, 7, 0, 0, 0, 7, 4, 3, 7, 5, 11, 7, 4, 5, 7, 6, 12, 7, 5, 9, 9, 6, 1664, 7, 4, 6,
  7, 7, 20, 9, 5, 128, 7, 7, 24, 7, 6, 14, 7, 7, 28, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 7, 23, 7, 4, 3, 7, 7, 27, 7, 4, 5,
  7, 8, 39, 7, 6, 16, 9, 8, 576, 7, 4, 6, 7, 7, 19, 7, 5, 8, 7, 8, 55, 9, 5, 64, 7, 5, 10, 7, 4, 4, 7, 4, 2, 7, 4, 7,
  7, 8, 45, 7, 4, 3, 7, 5, 11, 7, 4, 5, 7, 8, 53, 7, 5, 9, 9, 8, 448, 7, 4, 6, 7, 8, 35, 9, 5, 128, 7, 8, 51, 7, 6, 15,
  7, 8, 63, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 6, 13, 7, 4, 3, 9, 9, 1536, 7, 4, 5, 7, 8, 43, 7, 6, 17, 9, 9, 1280, 7, 4, 6,
  7, 6, 1, 7, 5, 8, 9, 6, 192, 9, 5, 64, 7, 5, 10, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 8, 29, 7, 4, 3, 7, 5, 11, 7, 4, 5,
  7, 6, 12, 7, 5, 9, 9, 6, 1664, 7, 4, 6, 7, 8, 33, 9, 5, 128, 7, 8, 49, 7, 6, 14, 7, 8, 61, 7, 4, 4, 7, 4, 2, 7, 4, 7,
  7, 8, 47, 7, 4, 3, 7, 8, 59, 7, 4, 5, 7, 8, 41, 7, 6, 16, 9, 9, 1024, 7, 4, 6, 7, 8, 31, 7, 5, 8, 7, 8, 57, 9, 5, 64,
  7, 5, 10, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 7, 22, 7, 4, 3, 7, 5, 11, 7, 4, 5, 7, 7, 26, 7, 5, 9, 9, 9, 768, 7, 4, 6,
  7, 8, 37, 9, 5, 128, 7, 7, 25, 7, 6, 15, 9, 8, 320, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 6, 13, 7, 4, 3, 7, 7, 18, 7, 4, 5,
  7, 7, 21, 7, 6, 17, 9, 7, 256, 7, 4, 6, 7, 6, 1, 7, 5, 8, 9, 6, 192, 9, 5, 64, 7, 5, 10, 7, 4, 4, 7, 4, 2, 7, 4, 7,
  11, 11, 1856, 7, 4, 3, 7, 5, 11, 7, 4, 5, 7, 6, 12, 7, 5, 9, 9, 6, 1664, 7, 4, 6, 7, 7, 20, 9, 5, 128, 7, 7, 24, 7, 6, 14,
  7, 7, 28, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 7, 23, 7, 4, 3, 7, 7, 27, 7, 4, 5, 7, 8, 40, 7, 6, 16, 9, 9, 896, 7, 4, 6,
  7, 7, 19, 7, 5, 8, 7, 8, 56, 9, 5, 64, 7, 5, 10, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 8, 46, 7, 4, 3, 7, 5, 11, 7, 4, 5,
  7, 8, 54, 7, 5, 9, 9, 8, 512, 7, 4, 6, 7, 8, 36, 9, 5, 128, 7, 8, 52, 7, 6, 15, 7, 8, 0, 7, 4, 4, 7, 4, 2, 7, 4, 7,
  7, 6, 13, 7, 4, 3, 9, 9, 1728, 7, 4, 5, 7, 8, 44, 7, 6, 17, 9, 9, 1408, 7, 4, 6, 7, 6, 1, 7, 5, 8, 9, 6, 192, 9, 5, 64,
  7, 5, 10, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 8, 30, 7, 4, 3, 7, 5, 11, 7, 4, 5, 7, 6, 12, 7, 5, 9, 9, 6, 1664, 7, 4, 6,
  7, 8, 34, 9, 5, 128, 7, 8, 50, 7, 6, 14, 7, 8, 62, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 8, 48, 7, 4, 3, 7, 8, 60, 7, 4, 5,
  7, 8, 42, 7, 6, 16, 9, 9, 1152, 7, 4, 6, 7, 8, 32, 7, 5, 8, 7, 8, 58, 9, 5, 64, 7, 5, 10, 7, 4, 4, 7, 4, 2, 7, 4, 7,
  7, 7, 22, 7, 4, 3, 7, 5, 11, 7, 4, 5, 7, 7, 26, 7, 5, 9, 9, 8, 640, 7, 4, 6, 7, 8, 38, 9, 5, 128, 7, 7, 25, 7, 6, 15,
  9, 8, 384, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 6, 13, 7, 4, 3, 7, 7, 18, 7, 4, 5, 7, 7, 21, 7, 6, 17, 9, 7, 256, 7, 4, 6,
  7, 6, 1, 7, 5, 8, 9, 6, 192, 9, 5, 64, 7, 5, 10, 7, 4, 4, 7, 4, 2, 7, 4, 7, 0, 0, 0, 7, 4, 3, 7, 5, 11, 7, 4, 5,
  7, 6, 12, 7, 5, 9, 9, 6, 1664, 7, 4, 6, 7, 7, 20, 9, 5, 128, 7, 7, 24, 7, 6, 14, 7, 7, 28, 7, 4, 4, 7, 4, 2, 7, 4, 7,
  7, 7, 23, 7, 4, 3, 7, 7, 27, 7, 4, 5, 7, 8, 39, 7, 6, 16, 9, 8, 576, 7, 4, 6, 7, 7, 19, 7, 5, 8, 7, 8, 55, 9, 5, 64,
  7, 5, 10, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 8, 45, 7, 4, 3, 7, 5, 11, 7, 4, 5, 7, 8, 53, 7, 5, 9, 9, 8, 448, 7, 4, 6,
  7, 8, 35, 9, 5, 128, 7, 8, 51, 7, 6, 15, 7, 8, 63, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 6, 13, 7, 4, 3, 9, 9, 1472, 7, 4, 5,
  7, 8, 43, 7, 6, 17, 9, 9, 1216, 7, 4, 6, 7, 6, 1, 7, 5, 8, 9, 6, 192, 9, 5, 64, 7, 5, 10, 7, 4, 4, 7, 4, 2, 7, 4, 7,
  7, 8, 29, 7, 4, 3, 7, 5, 11, 7, 4, 5, 7, 6, 12, 7, 5, 9, 9, 6, 1664, 7, 4, 6, 7, 8, 33, 9, 5, 128, 7, 8, 49, 7, 6, 14,
  7, 8, 61, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 8, 47, 7, 4, 3, 7, 8, 59, 7, 4, 5, 7, 8, 41, 7, 6, 16, 9, 9, 960, 7, 4, 6,
  7, 8, 31, 7, 5, 8, 7, 8, 57, 9, 5, 64, 7, 5, 10, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 7, 22, 7, 4, 3, 7, 5, 11, 7, 4, 5,
  7, 7, 26, 7, 5, 9, 9, 9, 704, 7, 4, 6, 7, 8, 37, 9, 5, 128, 7, 7, 25, 7, 6, 15, 9, 8, 320, 7, 4, 4, 7, 4, 2, 7, 4, 7,
  7, 6, 13, 7, 4, 3, 7, 7, 18, 7, 4, 5, 7, 7, 21, 7, 6, 17, 9, 7, 256, 7, 4, 6, 7, 6, 1, 7, 5, 8, 9, 6, 192, 9, 5, 64,
  7, 5, 10, 7, 4, 4, 7, 4, 2, 7, 4, 7, 11, 12, 2112, 7, 4, 3, 7, 5, 11, 7, 4, 5, 7, 6, 12, 7, 5, 9, 9, 6, 1664, 7, 4, 6,
  7, 7, 20, 9, 5, 128, 7, 7, 24, 7, 6, 14, 7, 7, 28, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 7, 23, 7, 4, 3, 7, 7, 27, 7, 4, 5,
  7, 8, 40, 7, 6, 16, 9, 9, 832, 7, 4, 6, 7, 7, 19, 7, 5, 8, 7, 8, 56, 9, 5, 64, 7, 5, 10, 7, 4, 4, 7, 4, 2, 7, 4, 7,
  7, 8, 46, 7, 4, 3, 7, 5, 11, 7, 4, 5, 7, 8, 54, 7, 5, 9, 9, 8, 512, 7, 4, 6, 7, 8, 36, 9, 5, 128, 7, 8, 52, 7, 6, 15,
  7, 8, 0, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 6, 13, 7, 4, 3, 9, 9, 1600, 7, 4, 5, 7, 8, 44, 7, 6, 17, 9, 9, 1344, 7, 4, 6,
  7, 6, 1, 7, 5, 8, 9, 6, 192, 9, 5, 64, 7, 5, 10, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 8, 30, 7, 4, 3, 7, 5, 11, 7, 4, 5,
  7, 6, 12, 7, 5, 9, 9, 6, 1664, 7, 4, 6, 7, 8, 34, 9, 5, 128, 7, 8, 50, 7, 6, 14, 7, 8, 62, 7, 4, 4, 7, 4, 2, 7, 4, 7,
  7, 8, 48, 7, 4, 3, 7, 8, 60, 7, 4, 5, 7, 8, 42, 7, 6, 16, 9, 9, 1088, 7, 4, 6, 7, 8, 32, 7, 5, 8, 7, 8, 58, 9, 5, 64,
  7, 5, 10, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 7, 22, 7, 4, 3, 7, 5, 11, 7, 4, 5, 7, 7, 26, 7, 5, 9, 9, 8, 640, 7, 4, 6,
  7, 8, 38, 9, 5, 128, 7, 7, 25, 7, 6, 15, 9, 8, 384, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 6, 13, 7, 4, 3, 7, 7, 18, 7, 4, 5,
  7, 7, 21, 7, 6, 17, 9, 7, 256, 7, 4, 6, 7, 6, 1, 7, 5, 8, 9, 6, 192, 9, 5, 64, 7, 5, 10, 7, 4, 4, 7, 4, 2, 7, 4, 7,
  0, 0, 0, 7, 4, 3, 7, 5, 11, 7, 4, 5, 7, 6, 12, 7, 5, 9, 9, 6, 1664, 7, 4, 6, 7, 7, 20, 9, 5, 128, 7, 7, 24, 7, 6, 14,
  7, 7, 28, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 7, 23, 7, 4, 3, 7, 7, 27, 7, 4, 5, 7, 8, 39, 7, 6, 16, 9, 8, 576, 7, 4, 6,
  7, 7, 19, 7, 5, 8, 7, 8, 55, 9, 5, 64, 7, 5, 10, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 8, 45, 7, 4, 3, 7, 5, 11, 7, 4, 5,
  7, 8, 53, 7, 5, 9, 9, 8, 448, 7, 4, 6, 7, 8, 35, 9, 5, 128, 7, 8, 51, 7, 6, 15, 7, 8, 63, 7, 4, 4, 7, 4, 2, 7, 4, 7,
  7, 6, 13, 7, 4, 3, 9, 9, 1536, 7, 4, 5, 7, 8, 43, 7, 6, 17, 9, 9, 1280, 7, 4, 6, 7, 6, 1, 7, 5, 8, 9, 6, 192, 9, 5, 64,
  7, 5, 10, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 8, 29, 7, 4, 3, 7, 5, 11, 7, 4, 5, 7, 6, 12, 7, 5, 9, 9, 6, 1664, 7, 4, 6,
  7, 8, 33, 9, 5, 128, 7, 8, 49, 7, 6, 14, 7, 8, 61, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 8, 47, 7, 4, 3, 7, 8, 59, 7, 4, 5,
  7, 8, 41, 7, 6, 16, 9, 9, 1024, 7, 4, 6, 7, 8, 31, 7, 5, 8, 7, 8, 57, 9, 5, 64, 7, 5, 10, 7, 4, 4, 7, 4, 2, 7, 4, 7,
  7, 7, 22, 7, 4, 3, 7, 5, 11, 7, 4, 5, 7, 7, 26, 7, 5, 9, 9, 9, 768, 7, 4, 6, 7, 8, 37, 9, 5, 128, 7, 7, 25, 7, 6, 15,
  9, 8, 320, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 6, 13, 7, 4, 3, 7, 7, 18, 7, 4, 5, 7, 7, 21, 7, 6, 17, 9, 7, 256, 7, 4, 6,
  7, 6, 1, 7, 5, 8, 9, 6, 192, 9, 5, 64, 7, 5, 10, 7, 4, 4, 7, 4, 2, 7, 4, 7, 11, 12, 2368, 7, 4, 3, 7, 5, 11, 7, 4, 5,
  7, 6, 12, 7, 5, 9, 9, 6, 1664, 7, 4, 6, 7, 7, 20, 9, 5, 128, 7, 7, 24, 7, 6, 14, 7, 7, 28, 7, 4, 4, 7, 4, 2, 7, 4, 7,
  7, 7, 23, 7, 4, 3, 7, 7, 27, 7, 4, 5, 7, 8, 40, 7, 6, 16, 9, 9, 896, 7, 4, 6, 7, 7, 19, 7, 5, 8, 7, 8, 56, 9, 5, 64,
  7, 5, 10, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 8, 46, 7, 4, 3, 7, 5, 11, 7, 4, 5, 7, 8, 54, 7, 5, 9, 9, 8, 512, 7, 4, 6,
  7, 8, 36, 9, 5, 128, 7, 8, 52, 7, 6, 15, 7, 8, 0, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 6, 13, 7, 4, 3, 9, 9, 1728, 7, 4, 5,
  7, 8, 44, 7, 6, 17, 9, 9, 1408, 7, 4, 6, 7, 6, 1, 7, 5, 8, 9, 6, 192, 9, 5, 64, 7, 5, 10, 7, 4, 4, 7, 4, 2, 7, 4, 7,
  7, 8, 30, 7, 4, 3, 7, 5, 11, 7, 4, 5, 7, 6, 12, 7, 5, 9, 9, 6, 1664, 7, 4, 6, 7, 8, 34, 9, 5, 128, 7, 8, 50, 7, 6, 14,
  7, 8, 62, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 8, 48, 7, 4, 3, 7, 8, 60, 7, 4, 5, 7, 8, 42, 7, 6, 16, 9, 9, 1152, 7, 4, 6,
  7, 8, 32, 7, 5, 8, 7, 8, 58, 9, 5, 64, 7, 5, 10, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 7, 22, 7, 4, 3, 7, 5, 11, 7, 4, 5,
  7, 7, 26, 7, 5, 9, 9, 8, 640, 7, 4, 6, 7, 8, 38, 9, 5, 128, 7, 7, 25, 7, 6, 15, 9, 8, 384, 7, 4, 4, 7, 4, 2, 7, 4, 7,
  7, 6, 13, 7, 4, 3, 7, 7, 18, 7, 4, 5, 7, 7, 21, 7, 6, 17, 9, 7, 256, 7, 4, 6, 7, 6, 1, 7, 5, 8, 9, 6, 192, 9, 5, 64,
  7, 5, 10, 7, 4, 4, 7, 4, 2, 7, 4, 7, 0, 0, 0, 7, 4, 3, 7, 5, 11, 7, 4, 5, 7, 6, 12, 7, 5, 9, 9, 6, 1664, 7, 4, 6,
  7, 7, 20, 9, 5, 128, 7, 7, 24, 7, 6, 14, 7, 7, 28, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 7, 23, 7, 4, 3, 7, 7, 27, 7, 4, 5,
  7, 8, 39, 7, 6, 16, 9, 8, 576, 7, 4, 6, 7, 7, 19, 7, 5, 8, 7, 8, 55, 9, 5, 64, 7, 5, 10, 7, 4, 4, 7, 4, 2, 7, 4, 7,
  7, 8, 45, 7, 4, 3, 7, 5, 11, 7, 4, 5, 7, 8, 53, 7, 5, 9, 9, 8, 448, 7, 4, 6, 7, 8, 35, 9, 5, 128, 7, 8, 51, 7, 6, 15,
  7, 8, 63, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 6, 13, 7, 4, 3, 9, 9, 1472, 7, 4, 5, 7, 8, 43, 7, 6, 17, 9, 9, 1216, 7, 4, 6,
  7, 6, 1, 7, 5, 8, 9, 6, 192, 9, 5, 64, 7, 5, 10, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 8, 29, 7, 4, 3, 7, 5, 11, 7, 4, 5,
  7, 6, 12, 7, 5, 9, 9, 6, 1664, 7, 4, 6, 7, 8, 33, 9, 5, 128, 7, 8, 49, 7, 6, 14, 7, 8, 61, 7, 4, 4, 7, 4, 2, 7, 4, 7,
  7, 8, 47, 7, 4, 3, 7, 8, 59, 7, 4, 5, 7, 8, 41, 7, 6, 16, 9, 9, 960, 7, 4, 6, 7, 8, 31, 7, 5, 8, 7, 8, 57, 9, 5, 64,
  7, 5, 10, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 7, 22, 7, 4, 3, 7, 5, 11, 7, 4, 5, 7, 7, 26, 7, 5, 9, 9, 9, 704, 7, 4, 6,
  7, 8, 37, 9, 5, 128, 7, 7, 25, 7, 6, 15, 9, 8, 320, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 6, 13, 7, 4, 3, 7, 7, 18, 7, 4, 5,
  7, 7, 21, 7, 6, 17, 9, 7, 256, 7, 4, 6, 7, 6, 1, 7, 5, 8, 9, 6, 192, 9, 5, 64, 7, 5, 10, 7, 4, 4, 7, 4, 2, 7, 4, 7,
  11, 12, 1984, 7, 4, 3, 7, 5, 11, 7, 4, 5, 7, 6, 12, 7, 5, 9, 9, 6, 1664, 7, 4, 6, 7, 7, 20, 9, 5, 128, 7, 7, 24, 7, 6, 14,
  7, 7, 28, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 7, 23, 7, 4, 3, 7, 7, 27, 7, 4, 5, 7, 8, 40, 7, 6, 16, 9, 9, 832, 7, 4, 6,
  7, 7, 19, 7, 5, 8, 7, 8, 56, 9, 5, 64, 7, 5, 10, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 8, 46, 7, 4, 3, 7, 5, 11, 7, 4, 5,
  7, 8, 54, 7, 5, 9, 9, 8, 512, 7, 4, 6, 7, 8, 36, 9, 5, 128, 7, 8, 52, 7, 6, 15, 7, 8, 0, 7, 4, 4, 7, 4, 2, 7, 4, 7,
  7, 6, 13, 7, 4, 3, 9, 9, 1600, 7, 4, 5, 7, 8, 44, 7, 6, 17, 9, 9, 1344, 7, 4, 6, 7, 6, 1, 7, 5, 8, 9, 6, 192, 9, 5, 64,
  7, 5, 10, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 8, 30, 7, 4, 3, 7, 5, 11, 7, 4, 5, 7, 6, 12, 7, 5, 9, 9, 6, 1664, 7, 4, 6,
  7, 8, 34, 9, 5, 128, 7, 8, 50, 7, 6, 14, 7, 8, 62, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 8, 48, 7, 4, 3, 7, 8, 60, 7, 4, 5,
  7, 8, 42, 7, 6, 16, 9, 9, 1088, 7, 4, 6, 7, 8, 32, 7, 5, 8, 7, 8, 58, 9, 5, 64, 7, 5, 10, 7, 4, 4, 7, 4, 2, 7, 4, 7,
  7, 7, 22, 7, 4, 3, 7, 5, 11, 7, 4, 5, 7, 7, 26, 7, 5, 9, 9, 8, 640, 7, 4, 6, 7, 8, 38, 9, 5, 128, 7, 7, 25, 7, 6, 15,
  9, 8, 384, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 6, 13, 7, 4, 3, 7, 7, 18, 7, 4, 5, 7, 7, 21, 7, 6, 17, 9, 7, 256, 7, 4, 6,
  7, 6, 1, 7, 5, 8, 9, 6, 192, 9, 5, 64, 7, 5, 10, 7, 4, 4, 7, 4, 2, 7, 4, 7, 0, 0, 0, 7, 4, 3, 7, 5, 11, 7, 4, 5,
  7, 6, 12, 7, 5, 9, 9, 6, 1664, 7, 4, 6, 7, 7, 20, 9, 5, 128, 7, 7, 24, 7, 6, 14, 7, 7, 28, 7, 4, 4, 7, 4, 2, 7, 4, 7,
  7, 7, 23, 7, 4, 3, 7, 7, 27, 7, 4, 5, 7, 8, 39, 7, 6, 16, 9, 8, 576, 7, 4, 6, 7, 7, 19, 7, 5, 8, 7, 8, 55, 9, 5, 64,
  7, 5, 10, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 8, 45, 7, 4, 3, 7, 5, 11, 7, 4, 5, 7, 8, 53, 7, 5, 9, 9, 8, 448, 7, 4, 6,
  7, 8, 35, 9, 5, 128, 7, 8, 51, 7, 6, 15, 7, 8, 63, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 6, 13, 7, 4, 3, 9, 9, 1536, 7, 4, 5,
  7, 8, 43, 7, 6, 17, 9, 9, 1280, 7, 4, 6, 7, 6, 1, 7, 5, 8, 9, 6, 192, 9, 5, 64, 7, 5, 10, 7, 4, 4, 7, 4, 2, 7, 4, 7,
  7, 8, 29, 7, 4, 3, 7, 5, 11, 7, 4, 5, 7, 6, 12, 7, 5, 9, 9, 6, 1664, 7, 4, 6, 7, 8, 33, 9, 5, 128, 7, 8, 49, 7, 6, 14,
  7, 8, 61, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 8, 47, 7, 4, 3, 7, 8, 59, 7, 4, 5, 7, 8, 41, 7, 6, 16, 9, 9, 1024, 7, 4, 6,
  7, 8, 31, 7, 5, 8, 7, 8, 57, 9, 5, 64, 7, 5, 10, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 7, 22, 7, 4, 3, 7, 5, 11, 7, 4, 5,
  7, 7, 26, 7, 5, 9, 9, 9, 768, 7, 4, 6, 7, 8, 37, 9, 5, 128, 7, 7, 25, 7, 6, 15, 9, 8, 320, 7, 4, 4, 7, 4, 2, 7, 4, 7,
  7, 6, 13, 7, 4, 3, 7, 7, 18, 7, 4, 5, 7, 7, 21, 7, 6, 17, 9, 7, 256, 7, 4, 6, 7, 6, 1, 7, 5, 8, 9, 6, 192, 9, 5, 64,
  7, 5, 10, 7, 4, 4, 7, 4, 2, 7, 4, 7, 11, 11, 1920, 7, 4, 3, 7, 5, 11, 7, 4, 5, 7, 6, 12, 7, 5, 9, 9, 6, 1664, 7, 4, 6,
  7, 7, 20, 9, 5, 128, 7, 7, 24, 7, 6, 14, 7, 7, 28, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 7, 23, 7, 4, 3, 7, 7, 27, 7, 4, 5,
  7, 8, 40, 7, 6, 16, 9, 9, 896, 7, 4, 6, 7, 7, 19, 7, 5, 8, 7, 8, 56, 9, 5, 64, 7, 5, 10, 7, 4, 4, 7, 4, 2, 7, 4, 7,
  7, 8, 46, 7, 4, 3, 7, 5, 11, 7, 4, 5, 7, 8, 54, 7, 5, 9, 9, 8, 512, 7, 4, 6, 7, 8, 36, 9, 5, 128, 7, 8, 52, 7, 6, 15,
  7, 8, 0, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 6, 13, 7, 4, 3, 9, 9, 1728, 7, 4, 5, 7, 8, 44, 7, 6, 17, 9, 9, 1408, 7, 4, 6,
  7, 6, 1, 7, 5, 8, 9, 6, 192, 9, 5, 64, 7, 5, 10, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 8, 30, 7, 4, 3, 7, 5, 11, 7, 4, 5,
  7, 6, 12, 7, 5, 9, 9, 6, 1664, 7, 4, 6, 7, 8, 34, 9, 5, 128, 7, 8, 50, 7, 6, 14, 7, 8, 62, 7, 4, 4, 7, 4, 2, 7, 4, 7,
  7, 8, 48, 7, 4, 3, 7, 8, 60, 7, 4, 5, 7, 8, 42, 7, 6, 16, 9, 9, 1152, 7, 4, 6, 7, 8, 32, 7, 5, 8, 7, 8, 58, 9, 5, 64,
  7, 5, 10, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 7, 22, 7, 4, 3, 7, 5, 11, 7, 4, 5, 7, 7, 26, 7, 5, 9, 9, 8, 640, 7, 4, 6,
  7, 8, 38, 9, 5, 128, 7, 7, 25, 7, 6, 15, 9, 8, 384, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 6, 13, 7, 4, 3, 7, 7, 18, 7, 4, 5,
  7, 7, 21, 7, 6, 17, 9, 7, 256, 7, 4, 6, 7, 6, 1, 7, 5, 8, 9, 6, 192, 9, 5, 64, 7, 5, 10, 7, 4, 4, 7, 4, 2, 7, 4, 7,
  0, 0, 0, 7, 4, 3, 7, 5, 11, 7, 4, 5, 7, 6, 12, 7, 5, 9, 9, 6, 1664, 7, 4, 6, 7, 7, 20, 9, 5, 128, 7, 7, 24, 7, 6, 14,
  7, 7, 28, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 7, 23, 7, 4, 3, 7, 7, 27, 7, 4, 5, 7, 8, 39, 7, 6, 16, 9, 8, 576, 7, 4, 6,
  7, 7, 19, 7, 5, 8, 7, 8, 55, 9, 5, 64, 7, 5, 10, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 8, 45, 7, 4, 3, 7, 5, 11, 7, 4, 5,
  7, 8, 53, 7, 5, 9, 9, 8, 448, 7, 4, 6, 7, 8, 35, 9, 5, 128, 7, 8, 51, 7, 6, 15, 7, 8, 63, 7, 4, 4, 7, 4, 2, 7, 4, 7,
  7, 6, 13, 7, 4, 3, 9, 9, 1472, 7, 4, 5, 7, 8, 43, 7, 6, 17, 9, 9, 1216, 7, 4, 6, 7, 6, 1, 7, 5, 8, 9, 6, 192, 9, 5, 64,
  7, 5, 10, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 8, 29, 7, 4, 3, 7, 5, 11, 7, 4, 5, 7, 6, 12, 7, 5, 9, 9, 6, 1664, 7, 4, 6,
  7, 8, 33, 9, 5, 128, 7, 8, 49, 7, 6, 14, 7, 8, 61, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 8, 47, 7, 4, 3, 7, 8, 59, 7, 4, 5,
  7, 8, 41, 7, 6, 16, 9, 9, 960, 7, 4, 6, 7, 8, 31, 7, 5, 8, 7, 8, 57, 9, 5, 64, 7, 5, 10, 7, 4, 4, 7, 4, 2, 7, 4, 7,
  7, 7, 22, 7, 4, 3, 7, 5, 11, 7, 4, 5, 7, 7, 26, 7, 5, 9, 9, 9, 704, 7, 4, 6, 7, 8, 37, 9, 5, 128, 7, 7, 25, 7, 6, 15,
  9, 8, 320, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 6, 13, 7, 4, 3, 7, 7, 18, 7, 4, 5, 7, 7, 21, 7, 6, 17, 9, 7, 256, 7, 4, 6,
  7, 6, 1, 7, 5, 8, 9, 6, 192, 9, 5, 64, 7, 5, 10, 7, 4, 4, 7, 4, 2, 7, 4, 7, 11, 12, 2240, 7, 4, 3, 7, 5, 11, 7, 4, 5,
  7, 6, 12, 7, 5, 9, 9, 6, 1664, 7, 4, 6, 7, 7, 20, 9, 5, 128, 7, 7, 24, 7, 6, 14, 7, 7, 28, 7, 4, 4, 7, 4, 2, 7, 4, 7,
  7, 7, 23, 7, 4, 3, 7, 7, 27, 7, 4, 5, 7, 8, 40, 7, 6, 16, 9, 9, 832, 7, 4, 6, 7, 7, 19, 7, 5, 8, 7, 8, 56, 9, 5, 64,
  7, 5, 10, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 8, 46, 7, 4, 3, 7, 5, 11, 7, 4, 5, 7, 8, 54, 7, 5, 9, 9, 8, 512, 7, 4, 6,
  7, 8, 36, 9, 5, 128, 7, 8, 52, 7, 6, 15, 7, 8, 0, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 6, 13, 7, 4, 3, 9, 9, 1600, 7, 4, 5,
  7, 8, 44, 7, 6, 17, 9, 9, 1344, 7, 4, 6, 7, 6, 1, 7, 5, 8, 9, 6, 192, 9, 5, 64, 7, 5, 10, 7, 4, 4, 7, 4, 2, 7, 4, 7,
  7, 8, 30, 7, 4, 3, 7, 5, 11, 7, 4, 5, 7, 6, 12, 7, 5, 9, 9, 6, 1664, 7, 4, 6, 7, 8, 34, 9, 5, 128, 7, 8, 50, 7, 6, 14,
  7, 8, 62, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 8, 48, 7, 4, 3, 7, 8, 60, 7, 4, 5, 7, 8, 42, 7, 6, 16, 9, 9, 1088, 7, 4, 6,
  7, 8, 32, 7, 5, 8, 7, 8, 58, 9, 5, 64, 7, 5, 10, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 7, 22, 7, 4, 3, 7, 5, 11, 7, 4, 5,
  7, 7, 26, 7, 5, 9, 9, 8, 640, 7, 4, 6, 7, 8, 38, 9, 5, 128, 7, 7, 25, 7, 6, 15, 9, 8, 384, 7, 4, 4, 7, 4, 2, 7, 4, 7,
  7, 6, 13, 7, 4, 3, 7, 7, 18, 7, 4, 5, 7, 7, 21, 7, 6, 17, 9, 7, 256, 7, 4, 6, 7, 6, 1, 7, 5, 8, 9, 6, 192, 9, 5, 64,
  7, 5, 10, 7, 4, 4, 7, 4, 2, 7, 4, 7, 0, 0, 0, 7, 4, 3, 7, 5, 11, 7, 4, 5, 7, 6, 12, 7, 5, 9, 9, 6, 1664, 7, 4, 6,
  7, 7, 20, 9, 5, 128, 7, 7, 24, 7, 6, 14, 7, 7, 28, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 7, 23, 7, 4, 3, 7, 7, 27, 7, 4, 5,
  7, 8, 39, 7, 6, 16, 9, 8, 576, 7, 4, 6, 7, 7, 19, 7, 5, 8, 7, 8, 55, 9, 5, 64, 7, 5, 10, 7, 4, 4, 7, 4, 2, 7, 4, 7,
  7, 8, 45, 7, 4, 3, 7, 5, 11, 7, 4, 5, 7, 8, 53, 7, 5, 9, 9, 8, 448, 7, 4, 6, 7, 8, 35, 9, 5, 128, 7, 8, 51, 7, 6, 15,
  7, 8, 63, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 6, 13, 7, 4, 3, 9, 9, 1536, 7, 4, 5, 7, 8, 43, 7, 6, 17, 9, 9, 1280, 7, 4, 6,
  7, 6, 1, 7, 5, 8, 9, 6, 192, 9, 5, 64, 7, 5, 10, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 8, 29, 7, 4, 3, 7, 5, 11, 7, 4, 5,
  7, 6, 12, 7, 5, 9, 9, 6, 1664, 7, 4, 6, 7, 8, 33, 9, 5, 128, 7, 8, 49, 7, 6, 14, 7, 8, 61, 7, 4, 4, 7, 4, 2, 7, 4, 7,
  7, 8, 47, 7, 4, 3, 7, 8, 59, 7, 4, 5, 7, 8, 41, 7, 6, 16, 9, 9, 1024, 7, 4, 6, 7, 8, 31, 7, 5, 8, 7, 8, 57, 9, 5, 64,
  7, 5, 10, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 7, 22, 7, 4, 3, 7, 5, 11, 7, 4, 5, 7, 7, 26, 7, 5, 9, 9, 9, 768, 7, 4, 6,
  7, 8, 37, 9, 5, 128, 7, 7, 25, 7, 6, 15, 9, 8, 320, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 6, 13, 7, 4, 3, 7, 7, 18, 7, 4, 5,
  7, 7, 21, 7, 6, 17, 9, 7, 256, 7, 4, 6, 7, 6, 1, 7, 5, 8, 9, 6, 192, 9, 5, 64, 7, 5, 10, 7, 4, 4, 7, 4, 2, 7, 4, 7,
  11, 12, 2496, 7, 4, 3, 7, 5, 11, 7, 4, 5, 7, 6, 12, 7, 5, 9, 9, 6, 1664, 7, 4, 6, 7, 7, 20, 9, 5, 128, 7, 7, 24, 7, 6, 14,
  7, 7, 28, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 7, 23, 7, 4, 3, 7, 7, 27, 7, 4, 5, 7, 8, 40, 7, 6, 16, 9, 9, 896, 7, 4, 6,
  7, 7, 19, 7, 5, 8, 7, 8, 56, 9, 5, 64, 7, 5, 10, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 8, 46, 7, 4, 3, 7, 5, 11, 7, 4, 5,
  7, 8, 54, 7, 5, 9, 9, 8, 512, 7, 4, 6, 7, 8, 36, 9, 5, 128, 7, 8, 52, 7, 6, 15, 7, 8, 0, 7, 4, 4, 7, 4, 2, 7, 4, 7,
  7, 6, 13, 7, 4, 3, 9, 9, 1728, 7, 4, 5, 7, 8, 44, 7, 6, 17, 9, 9, 1408, 7, 4, 6, 7, 6, 1, 7, 5, 8, 9, 6, 192, 9, 5, 64,
  7, 5, 10, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 8, 30, 7, 4, 3, 7, 5, 11, 7, 4, 5, 7, 6, 12, 7, 5, 9, 9, 6, 1664, 7, 4, 6,
  7, 8, 34, 9, 5, 128, 7, 8, 50, 7, 6, 14, 7, 8, 62, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 8, 48, 7, 4, 3, 7, 8, 60, 7, 4, 5,
  7, 8, 42, 7, 6, 16, 9, 9, 1152, 7, 4, 6, 7, 8, 32, 7, 5, 8, 7, 8, 58, 9, 5, 64, 7, 5, 10, 7, 4, 4, 7, 4, 2, 7, 4, 7,
  7, 7, 22, 7, 4, 3, 7, 5, 11, 7, 4, 5, 7, 7, 26, 7, 5, 9, 9, 8, 640, 7, 4, 6, 7, 8, 38, 9, 5, 128, 7, 7, 25, 7, 6, 15,
  9, 8, 384, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 6, 13, 7, 4, 3, 7, 7, 18, 7, 4, 5, 7, 7, 21, 7, 6, 17, 9, 7, 256, 7, 4, 6,
  7, 6, 1, 7, 5, 8, 9, 6, 192, 9, 5, 64, 7, 5, 10, 7, 4, 4, 7, 4, 2, 7, 4, 7, 12, 11, 0, 7, 4, 3, 7, 5, 11, 7, 4, 5,
  7, 6, 12, 7, 5, 9, 9, 6, 1664, 7, 4, 6, 7, 7, 20, 9, 5, 128, 7, 7, 24, 7, 6, 14, 7, 7, 28, 7, 4, 4, 7, 4, 2, 7, 4, 7,
  7, 7, 23, 7, 4, 3, 7, 7, 27, 7, 4, 5, 7, 8, 39, 7, 6, 16, 9, 8, 576, 7, 4, 6, 7, 7, 19, 7, 5, 8, 7, 8, 55, 9, 5, 64,
  7, 5, 10, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 8, 45, 7, 4, 3, 7, 5, 11, 7, 4, 5, 7, 8, 53, 7, 5, 9, 9, 8, 448, 7, 4, 6,
  7, 8, 35, 9, 5, 128, 7, 8, 51, 7, 6, 15, 7, 8, 63, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 6, 13, 7, 4, 3, 9, 9, 1472, 7, 4, 5,
  7, 8, 43, 7, 6, 17, 9, 9, 1216, 7, 4, 6, 7, 6, 1, 7, 5, 8, 9, 6, 192, 9, 5, 64, 7, 5, 10, 7, 4, 4, 7, 4, 2, 7, 4, 7,
  7, 8, 29, 7, 4, 3, 7, 5, 11, 7, 4, 5, 7, 6, 12, 7, 5, 9, 9, 6, 1664, 7, 4, 6, 7, 8, 33, 9, 5, 128, 7, 8, 49, 7, 6, 14,
  7, 8, 61, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 8, 47, 7, 4, 3, 7, 8, 59, 7, 4, 5, 7, 8, 41, 7, 6, 16, 9, 9, 960, 7, 4, 6,
  7, 8, 31, 7, 5, 8, 7, 8, 57, 9, 5, 64, 7, 5, 10, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 7, 22, 7, 4, 3, 7, 5, 11, 7, 4, 5,
  7, 7, 26, 7, 5, 9, 9, 9, 704, 7, 4, 6, 7, 8, 37, 9, 5, 128, 7, 7, 25, 7, 6, 15, 9, 8, 320, 7, 4, 4, 7, 4, 2, 7, 4, 7,
  7, 6, 13, 7, 4, 3, 7, 7, 18, 7, 4, 5, 7, 7, 21, 7, 6, 17, 9, 7, 256, 7, 4, 6, 7, 6, 1, 7, 5, 8, 9, 6, 192, 9, 5, 64,
  7, 5, 10, 7, 4, 4, 7, 4, 2, 7, 4, 7, 11, 11, 1792, 7, 4, 3, 7, 5, 11, 7, 4, 5, 7, 6, 12, 7, 5, 9, 9, 6, 1664, 7, 4, 6,
  7, 7, 20, 9, 5, 128, 7, 7, 24, 7, 6, 14, 7, 7, 28, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 7, 23, 7, 4, 3, 7, 7, 27, 7, 4, 5,
  7, 8, 40, 7, 6, 16, 9, 9, 832, 7, 4, 6, 7, 7, 19, 7, 5, 8, 7, 8, 56, 9, 5, 64, 7, 5, 10, 7, 4, 4, 7, 4, 2, 7, 4, 7,
  7, 8, 46, 7, 4, 3, 7, 5, 11, 7, 4, 5, 7, 8, 54, 7, 5, 9, 9, 8, 512, 7, 4, 6, 7, 8, 36, 9, 5, 128, 7, 8, 52, 7, 6, 15,
  7, 8, 0, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 6, 13, 7, 4, 3, 9, 9, 1600, 7, 4, 5, 7, 8, 44, 7, 6, 17, 9, 9, 1344, 7, 4, 6,
  7, 6, 1, 7, 5, 8, 9, 6, 192, 9, 5, 64, 7, 5, 10, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 8, 30, 7, 4, 3, 7, 5, 11, 7, 4, 5,
  7, 6, 12, 7, 5, 9, 9, 6, 1664, 7, 4, 6, 7, 8, 34, 9, 5, 128, 7, 8, 50, 7, 6, 14, 7, 8, 62, 7, 4, 4, 7, 4, 2, 7, 4, 7,
  7, 8, 48, 7, 4, 3, 7, 8, 60, 7, 4, 5, 7, 8, 42, 7, 6, 16, 9, 9, 1088, 7, 4, 6, 7, 8, 32, 7, 5, 8, 7, 8, 58, 9, 5, 64,
  7, 5, 10, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 7, 22, 7, 4, 3, 7, 5, 11, 7, 4, 5, 7, 7, 26, 7, 5, 9, 9, 8, 640, 7, 4, 6,
  7, 8, 38, 9, 5, 128, 7, 7, 25, 7, 6, 15, 9, 8, 384, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 6, 13, 7, 4, 3, 7, 7, 18, 7, 4, 5,
  7, 7, 21, 7, 6, 17, 9, 7, 256, 7, 4, 6, 7, 6, 1, 7, 5, 8, 9, 6, 192, 9, 5, 64, 7, 5, 10, 7, 4, 4, 7, 4, 2, 7, 4, 7,
  0, 0, 0, 7, 4, 3, 7, 5, 11, 7, 4, 5, 7, 6, 12, 7, 5, 9, 9, 6, 1664, 7, 4, 6, 7, 7, 20, 9, 5, 128, 7, 7, 24, 7, 6, 14,
  7, 7, 28, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 7, 23, 7, 4, 3, 7, 7, 27, 7, 4, 5, 7, 8, 39, 7, 6, 16, 9, 8, 576, 7, 4, 6,
  7, 7, 19, 7, 5, 8, 7, 8, 55, 9, 5, 64, 7, 5, 10, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 8, 45, 7, 4, 3, 7, 5, 11, 7, 4, 5,
  7, 8, 53, 7, 5, 9, 9, 8, 448, 7, 4, 6, 7, 8, 35, 9, 5, 128, 7, 8, 51, 7, 6, 15, 7, 8, 63, 7, 4, 4, 7, 4, 2, 7, 4, 7,
  7, 6, 13, 7, 4, 3, 9, 9, 1536, 7, 4, 5, 7, 8, 43, 7, 6, 17, 9, 9, 1280, 7, 4, 6, 7, 6, 1, 7, 5, 8, 9, 6, 192, 9, 5, 64,
  7, 5, 10, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 8, 29, 7, 4, 3, 7, 5, 11, 7, 4, 5, 7, 6, 12, 7, 5, 9, 9, 6, 1664, 7, 4, 6,
  7, 8, 33, 9, 5, 128, 7, 8, 49, 7, 6, 14, 7, 8, 61, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 8, 47, 7, 4, 3, 7, 8, 59, 7, 4, 5,
  7, 8, 41, 7, 6, 16, 9, 9, 1024, 7, 4, 6, 7, 8, 31, 7, 5, 8, 7, 8, 57, 9, 5, 64, 7, 5, 10, 7, 4, 4, 7, 4, 2, 7, 4, 7,
  7, 7, 22, 7, 4, 3, 7, 5, 11, 7, 4, 5, 7, 7, 26, 7, 5, 9, 9, 9, 768, 7, 4, 6, 7, 8, 37, 9, 5, 128, 7, 7, 25, 7, 6, 15,
  9, 8, 320, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 6, 13, 7, 4, 3, 7, 7, 18, 7, 4, 5, 7, 7, 21, 7, 6, 17, 9, 7, 256, 7, 4, 6,
  7, 6, 1, 7, 5, 8, 9, 6, 192, 9, 5, 64, 7, 5, 10, 7, 4, 4, 7, 4, 2, 7, 4, 7, 11, 11, 1856, 7, 4, 3, 7, 5, 11, 7, 4, 5,
  7, 6, 12, 7, 5, 9, 9, 6, 1664, 7, 4, 6, 7, 7, 20, 9, 5, 128, 7, 7, 24, 7, 6, 14, 7, 7, 28, 7, 4, 4, 7, 4, 2, 7, 4, 7,
  7, 7, 23, 7, 4, 3, 7, 7, 27, 7, 4, 5, 7, 8, 40, 7, 6, 16, 9, 9, 896, 7, 4, 6, 7, 7, 19, 7, 5, 8, 7, 8, 56, 9, 5, 64,
  7, 5, 10, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 8, 46, 7, 4, 3, 7, 5, 11, 7, 4, 5, 7, 8, 54, 7, 5, 9, 9, 8, 512, 7, 4, 6,
  7, 8, 36, 9, 5, 128, 7, 8, 52, 7, 6, 15, 7, 8, 0, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 6, 13, 7, 4, 3, 9, 9, 1728, 7, 4, 5,
  7, 8, 44, 7, 6, 17, 9, 9, 1408, 7, 4, 6, 7, 6, 1, 7, 5, 8, 9, 6, 192, 9, 5, 64, 7, 5, 10, 7, 4, 4, 7, 4, 2, 7, 4, 7,
  7, 8, 30, 7, 4, 3, 7, 5, 11, 7, 4, 5, 7, 6, 12, 7, 5, 9, 9, 6, 1664, 7, 4, 6, 7, 8, 34, 9, 5, 128, 7, 8, 50, 7, 6, 14,
  7, 8, 62, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 8, 48, 7, 4, 3, 7, 8, 60, 7, 4, 5, 7, 8, 42, 7, 6, 16, 9, 9, 1152, 7, 4, 6,
  7, 8, 32, 7, 5, 8, 7, 8, 58, 9, 5, 64, 7, 5, 10, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 7, 22, 7, 4, 3, 7, 5, 11, 7, 4, 5,
  7, 7, 26, 7, 5, 9, 9, 8, 640, 7, 4, 6, 7, 8, 38, 9, 5, 128, 7, 7, 25, 7, 6, 15, 9, 8, 384, 7, 4, 4, 7, 4, 2, 7, 4, 7,
  7, 6, 13, 7, 4, 3, 7, 7, 18, 7, 4, 5, 7, 7, 21, 7, 6, 17, 9, 7, 256, 7, 4, 6, 7, 6, 1, 7, 5, 8, 9, 6, 192, 9, 5, 64,
  7, 5, 10, 7, 4, 4, 7, 4, 2, 7, 4, 7, 0, 0, 0, 7, 4, 3, 7, 5, 11, 7, 4, 5, 7, 6, 12, 7, 5, 9, 9, 6, 1664, 7, 4, 6,
  7, 7, 20, 9, 5, 128, 7, 7, 24, 7, 6, 14, 7, 7, 28, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 7, 23, 7, 4, 3, 7, 7, 27, 7, 4, 5,
  7, 8, 39, 7, 6, 16, 9, 8, 576, 7, 4, 6, 7, 7, 19, 7, 5, 8, 7, 8, 55, 9, 5, 64, 7, 5, 10, 7, 4, 4, 7, 4, 2, 7, 4, 7,
  7, 8, 45, 7, 4, 3, 7, 5, 11, 7, 4, 5, 7, 8, 53, 7, 5, 9, 9, 8, 448, 7, 4, 6, 7, 8, 35, 9, 5, 128, 7, 8, 51, 7, 6, 15,
  7, 8, 63, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 6, 13, 7, 4, 3, 9, 9, 1472, 7, 4, 5, 7, 8, 43, 7, 6, 17, 9, 9, 1216, 7, 4, 6,
  7, 6, 1, 7, 5, 8, 9, 6, 192, 9, 5, 64, 7, 5, 10, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 8, 29, 7, 4, 3, 7, 5, 11, 7, 4, 5,
  7, 6, 12, 7, 5, 9, 9, 6, 1664, 7, 4, 6, 7, 8, 33, 9, 5, 128, 7, 8, 49, 7, 6, 14, 7, 8, 61, 7, 4, 4, 7, 4, 2, 7, 4, 7,
  7, 8, 47, 7, 4, 3, 7, 8, 59, 7, 4, 5, 7, 8, 41, 7, 6, 16, 9, 9, 960, 7, 4, 6, 7, 8, 31, 7, 5, 8, 7, 8, 57, 9, 5, 64,
  7, 5, 10, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 7, 22, 7, 4, 3, 7, 5, 11, 7, 4, 5, 7, 7, 26, 7, 5, 9, 9, 9, 704, 7, 4, 6,
  7, 8, 37, 9, 5, 128, 7, 7, 25, 7, 6, 15, 9, 8, 320, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 6, 13, 7, 4, 3, 7, 7, 18, 7, 4, 5,
  7, 7, 21, 7, 6, 17, 9, 7, 256, 7, 4, 6, 7, 6, 1, 7, 5, 8, 9, 6, 192, 9, 5, 64, 7, 5, 10, 7, 4, 4, 7, 4, 2, 7, 4, 7,
  11, 12, 2176, 7, 4, 3, 7, 5, 11, 7, 4, 5, 7, 6, 12, 7, 5, 9, 9, 6, 1664, 7, 4, 6, 7, 7, 20, 9, 5, 128, 7, 7, 24, 7, 6, 14,
  7, 7, 28, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 7, 23, 7, 4, 3, 7, 7, 27, 7, 4, 5, 7, 8, 40, 7, 6, 16, 9, 9, 832, 7, 4, 6,
  7, 7, 19, 7, 5, 8, 7, 8, 56, 9, 5, 64, 7, 5, 10, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 8, 46, 7, 4, 3, 7, 5, 11, 7, 4, 5,
  7, 8, 54, 7, 5, 9, 9, 8, 512, 7, 4, 6, 7, 8, 36, 9, 5, 128, 7, 8, 52, 7, 6, 15, 7, 8, 0, 7, 4, 4, 7, 4, 2, 7, 4, 7,
  7, 6, 13, 7, 4, 3, 9, 9, 1600, 7, 4, 5, 7, 8, 44, 7, 6, 17, 9, 9, 1344, 7, 4, 6, 7, 6, 1, 7, 5, 8, 9, 6, 192, 9, 5, 64,
  7, 5, 10, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 8, 30, 7, 4, 3, 7, 5, 11, 7, 4, 5, 7, 6, 12, 7, 5, 9, 9, 6, 1664, 7, 4, 6,
  7, 8, 34, 9, 5, 128, 7, 8, 50, 7, 6, 14, 7, 8, 62, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 8, 48, 7, 4, 3, 7, 8, 60, 7, 4, 5,
  7, 8, 42, 7, 6, 16, 9, 9, 1088, 7, 4, 6, 7, 8, 32, 7, 5, 8, 7, 8, 58, 9, 5, 64, 7, 5, 10, 7, 4, 4, 7, 4, 2, 7, 4, 7,
  7, 7, 22, 7, 4, 3, 7, 5, 11, 7, 4, 5, 7, 7, 26, 7, 5, 9, 9, 8, 640, 7, 4, 6, 7, 8, 38, 9, 5, 128, 7, 7, 25, 7, 6, 15,
  9, 8, 384, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 6, 13, 7, 4, 3, 7, 7, 18, 7, 4, 5, 7, 7, 21, 7, 6, 17, 9, 7, 256, 7, 4, 6,
  7, 6, 1, 7, 5, 8, 9, 6, 192, 9, 5, 64, 7, 5, 10, 7, 4, 4, 7, 4, 2, 7, 4, 7, 0, 0, 0, 7, 4, 3, 7, 5, 11, 7, 4, 5,
  7, 6, 12, 7, 5, 9, 9, 6, 1664, 7, 4, 6, 7, 7, 20, 9, 5, 128, 7, 7, 24, 7, 6, 14, 7, 7, 28, 7, 4, 4, 7, 4, 2, 7, 4, 7,
  7, 7, 23, 7, 4, 3, 7, 7, 27, 7, 4, 5, 7, 8, 39, 7, 6, 16, 9, 8, 576, 7, 4, 6, 7, 7, 19, 7, 5, 8, 7, 8, 55, 9, 5, 64,
  7, 5, 10, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 8, 45, 7, 4, 3, 7, 5, 11, 7, 4, 5, 7, 8, 53, 7, 5, 9, 9, 8, 448, 7, 4, 6,
  7, 8, 35, 9, 5, 128, 7, 8, 51, 7, 6, 15, 7, 8, 63, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 6, 13, 7, 4, 3, 9, 9, 1536, 7, 4, 5,
  7, 8, 43, 7, 6, 17, 9, 9, 1280, 7, 4, 6, 7, 6, 1, 7, 5, 8, 9, 6, 192, 9, 5, 64, 7, 5, 10, 7, 4, 4, 7, 4, 2, 7, 4, 7,
  7, 8, 29, 7, 4, 3, 7, 5, 11, 7, 4, 5, 7, 6, 12, 7, 5, 9, 9, 6, 1664, 7, 4, 6, 7, 8, 33, 9, 5, 128, 7, 8, 49, 7, 6, 14,
  7, 8, 61, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 8, 47, 7, 4, 3, 7, 8, 59, 7, 4, 5, 7, 8, 41, 7, 6, 16, 9, 9, 1024, 7, 4, 6,
  7, 8, 31, 7, 5, 8, 7, 8, 57, 9, 5, 64, 7, 5, 10, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 7, 22, 7, 4, 3, 7, 5, 11, 7, 4, 5,
  7, 7, 26, 7, 5, 9, 9, 9, 768, 7, 4, 6, 7, 8, 37, 9, 5, 128, 7, 7, 25, 7, 6, 15, 9, 8, 320, 7, 4, 4, 7, 4, 2, 7, 4, 7,
  7, 6, 13, 7, 4, 3, 7, 7, 18, 7, 4, 5, 7, 7, 21, 7, 6, 17, 9, 7, 256, 7, 4, 6, 7, 6, 1, 7, 5, 8, 9, 6, 192, 9, 5, 64,
  7, 5, 10, 7, 4, 4, 7, 4, 2, 7, 4, 7, 11, 12, 2432, 7, 4, 3, 7, 5, 11, 7, 4, 5, 7, 6, 12, 7, 5, 9, 9, 6, 1664, 7, 4, 6,
  7, 7, 20, 9, 5, 128, 7, 7, 24, 7, 6, 14, 7, 7, 28, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 7, 23, 7, 4, 3, 7, 7, 27, 7, 4, 5,
  7, 8, 40, 7, 6, 16, 9, 9, 896, 7, 4, 6, 7, 7, 19, 7, 5, 8, 7, 8, 56, 9, 5, 64, 7, 5, 10, 7, 4, 4, 7, 4, 2, 7, 4, 7,
  7, 8, 46, 7, 4, 3, 7, 5, 11, 7, 4, 5, 7, 8, 54, 7, 5, 9, 9, 8, 512, 7, 4, 6, 7, 8, 36, 9, 5, 128, 7, 8, 52, 7, 6, 15,
  7, 8, 0, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 6, 13, 7, 4, 3, 9, 9, 1728, 7, 4, 5, 7, 8, 44, 7, 6, 17, 9, 9, 1408, 7, 4, 6,
  7, 6, 1, 7, 5, 8, 9, 6, 192, 9, 5, 64, 7, 5, 10, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 8, 30, 7, 4, 3, 7, 5, 11, 7, 4, 5,
  7, 6, 12, 7, 5, 9, 9, 6, 1664, 7, 4, 6, 7, 8, 34, 9, 5, 128, 7, 8, 50, 7, 6, 14, 7, 8, 62, 7, 4, 4, 7, 4, 2, 7, 4, 7,
  7, 8, 48, 7, 4, 3, 7, 8, 60, 7, 4, 5, 7, 8, 42, 7, 6, 16, 9, 9, 1152, 7, 4, 6, 7, 8, 32, 7, 5, 8, 7, 8, 58, 9, 5, 64,
  7, 5, 10, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 7, 22, 7, 4, 3, 7, 5, 11, 7, 4, 5, 7, 7, 26, 7, 5, 9, 9, 8, 640, 7, 4, 6,
  7, 8, 38, 9, 5, 128, 7, 7, 25, 7, 6, 15, 9, 8, 384, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 6, 13, 7, 4, 3, 7, 7, 18, 7, 4, 5,
  7, 7, 21, 7, 6, 17, 9, 7, 256, 7, 4, 6, 7, 6, 1, 7, 5, 8, 9, 6, 192, 9, 5, 64, 7, 5, 10, 7, 4, 4, 7, 4, 2, 7, 4, 7,
  0, 0, 0, 7, 4, 3, 7, 5, 11, 7, 4, 5, 7, 6, 12, 7, 5, 9, 9, 6, 1664, 7, 4, 6, 7, 7, 20, 9, 5, 128, 7, 7, 24, 7, 6, 14,
  7, 7, 28, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 7, 23, 7, 4, 3, 7, 7, 27, 7, 4, 5, 7, 8, 39, 7, 6, 16, 9, 8, 576, 7, 4, 6,
  7, 7, 19, 7, 5, 8, 7, 8, 55, 9, 5, 64, 7, 5, 10, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 8, 45, 7, 4, 3, 7, 5, 11, 7, 4, 5,
  7, 8, 53, 7, 5, 9, 9, 8, 448, 7, 4, 6, 7, 8, 35, 9, 5, 128, 7, 8, 51, 7, 6, 15, 7, 8, 63, 7, 4, 4, 7, 4, 2, 7, 4, 7,
  7, 6, 13, 7, 4, 3, 9, 9, 1472, 7, 4, 5, 7, 8, 43, 7, 6, 17, 9, 9, 1216, 7, 4, 6, 7, 6, 1, 7, 5, 8, 9, 6, 192, 9, 5, 64,
  7, 5, 10, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 8, 29, 7, 4, 3, 7, 5, 11, 7, 4, 5, 7, 6, 12, 7, 5, 9, 9, 6, 1664, 7, 4, 6,
  7, 8, 33, 9, 5, 128, 7, 8, 49, 7, 6, 14, 7, 8, 61, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 8, 47, 7, 4, 3, 7, 8, 59, 7, 4, 5,
  7, 8, 41, 7, 6, 16, 9, 9, 960, 7, 4, 6, 7, 8, 31, 7, 5, 8, 7, 8, 57, 9, 5, 64, 7, 5, 10, 7, 4, 4, 7, 4, 2, 7, 4, 7,
  7, 7, 22, 7, 4, 3, 7, 5, 11, 7, 4, 5, 7, 7, 26, 7, 5, 9, 9, 9, 704, 7, 4, 6, 7, 8, 37, 9, 5, 128, 7, 7, 25, 7, 6, 15,
  9, 8, 320, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 6, 13, 7, 4, 3, 7, 7, 18, 7, 4, 5, 7, 7, 21, 7, 6, 17, 9, 7, 256, 7, 4, 6,
  7, 6, 1, 7, 5, 8, 9, 6, 192, 9, 5, 64, 7, 5, 10, 7, 4, 4, 7, 4, 2, 7, 4, 7, 11, 12, 2048, 7, 4, 3, 7, 5, 11, 7, 4, 5,
  7, 6, 12, 7, 5, 9, 9, 6, 1664, 7, 4, 6, 7, 7, 20, 9, 5, 128, 7, 7, 24, 7, 6, 14, 7, 7, 28, 7, 4, 4, 7, 4, 2, 7, 4, 7,
  7, 7, 23, 7, 4, 3, 7, 7, 27, 7, 4, 5, 7, 8, 40, 7, 6, 16, 9, 9, 832, 7, 4, 6, 7, 7, 19, 7, 5, 8, 7, 8, 56, 9, 5, 64,
  7, 5, 10, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 8, 46, 7, 4, 3, 7, 5, 11, 7, 4, 5, 7, 8, 54, 7, 5, 9, 9, 8, 512, 7, 4, 6,
  7, 8, 36, 9, 5, 128, 7, 8, 52, 7, 6, 15, 7, 8, 0, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 6, 13, 7, 4, 3, 9, 9, 1600, 7, 4, 5,
  7, 8, 44, 7, 6, 17, 9, 9, 1344, 7, 4, 6, 7, 6, 1, 7, 5, 8, 9, 6, 192, 9, 5, 64, 7, 5, 10, 7, 4, 4, 7, 4, 2, 7, 4, 7,
  7, 8, 30, 7, 4, 3, 7, 5, 11, 7, 4, 5, 7, 6, 12, 7, 5, 9, 9, 6, 1664, 7, 4, 6, 7, 8, 34, 9, 5, 128, 7, 8, 50, 7, 6, 14,
  7, 8, 62, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 8, 48, 7, 4, 3, 7, 8, 60, 7, 4, 5, 7, 8, 42, 7, 6, 16, 9, 9, 1088, 7, 4, 6,
  7, 8, 32, 7, 5, 8, 7, 8, 58, 9, 5, 64, 7, 5, 10, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 7, 22, 7, 4, 3, 7, 5, 11, 7, 4, 5,
  7, 7, 26, 7, 5, 9, 9, 8, 640, 7, 4, 6, 7, 8, 38, 9, 5, 128, 7, 7, 25, 7, 6, 15, 9, 8, 384, 7, 4, 4, 7, 4, 2, 7, 4, 7,
  7, 6, 13, 7, 4, 3, 7, 7, 18, 7, 4, 5, 7, 7, 21, 7, 6, 17, 9, 7, 256, 7, 4, 6, 7, 6, 1, 7, 5, 8, 9, 6, 192, 9, 5, 64,
  7, 5, 10, 7, 4, 4, 7, 4, 2, 7, 4, 7, 0, 0, 0, 7, 4, 3, 7, 5, 11, 7, 4, 5, 7, 6, 12, 7, 5, 9, 9, 6, 1664, 7, 4, 6,
  7, 7, 20, 9, 5, 128, 7, 7, 24, 7, 6, 14, 7, 7, 28, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 7, 23, 7, 4, 3, 7, 7, 27, 7, 4, 5,
  7, 8, 39, 7, 6, 16, 9, 8, 576, 7, 4, 6, 7, 7, 19, 7, 5, 8, 7, 8, 55, 9, 5, 64, 7, 5, 10, 7, 4, 4, 7, 4, 2, 7, 4, 7,
  7, 8, 45, 7, 4, 3, 7, 5, 11, 7, 4, 5, 7, 8, 53, 7, 5, 9, 9, 8, 448, 7, 4, 6, 7, 8, 35, 9, 5, 128, 7, 8, 51, 7, 6, 15,
  7, 8, 63, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 6, 13, 7, 4, 3, 9, 9, 1536, 7, 4, 5, 7, 8, 43, 7, 6, 17, 9, 9, 1280, 7, 4, 6,
  7, 6, 1, 7, 5, 8, 9, 6, 192, 9, 5, 64, 7, 5, 10, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 8, 29, 7, 4, 3, 7, 5, 11, 7, 4, 5,
  7, 6, 12, 7, 5, 9, 9, 6, 1664, 7, 4, 6, 7, 8, 33, 9, 5, 128, 7, 8, 49, 7, 6, 14, 7, 8, 61, 7, 4, 4, 7, 4, 2, 7, 4, 7,
  7, 8, 47, 7, 4, 3, 7, 8, 59, 7, 4, 5, 7, 8, 41, 7, 6, 16, 9, 9, 1024, 7, 4, 6, 7, 8, 31, 7, 5, 8, 7, 8, 57, 9, 5, 64,
  7, 5, 10, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 7, 22, 7, 4, 3, 7, 5, 11, 7, 4, 5, 7, 7, 26, 7, 5, 9, 9, 9, 768, 7, 4, 6,
  7, 8, 37, 9, 5, 128, 7, 7, 25, 7, 6, 15, 9, 8, 320, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 6, 13, 7, 4, 3, 7, 7, 18, 7, 4, 5,
  7, 7, 21, 7, 6, 17, 9, 7, 256, 7, 4, 6, 7, 6, 1, 7, 5, 8, 9, 6, 192, 9, 5, 64, 7, 5, 10, 7, 4, 4, 7, 4, 2, 7, 4, 7,
  11, 11, 1920, 7, 4, 3, 7, 5, 11, 7, 4, 5, 7, 6, 12, 7, 5, 9, 9, 6, 1664, 7, 4, 6, 7, 7, 20, 9, 5, 128, 7, 7, 24, 7, 6, 14,
  7, 7, 28, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 7, 23, 7, 4, 3, 7, 7, 27, 7, 4, 5, 7, 8, 40, 7, 6, 16, 9, 9, 896, 7, 4, 6,
  7, 7, 19, 7, 5, 8, 7, 8, 56, 9, 5, 64, 7, 5, 10, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 8, 46, 7, 4, 3, 7, 5, 11, 7, 4, 5,
  7, 8, 54, 7, 5, 9, 9, 8, 512, 7, 4, 6, 7, 8, 36, 9, 5, 128, 7, 8, 52, 7, 6, 15, 7, 8, 0, 7, 4, 4, 7, 4, 2, 7, 4, 7,
  7, 6, 13, 7, 4, 3, 9, 9, 1728, 7, 4, 5, 7, 8, 44, 7, 6, 17, 9, 9, 1408, 7, 4, 6, 7, 6, 1, 7, 5, 8, 9, 6, 192, 9, 5, 64,
  7, 5, 10, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 8, 30, 7, 4, 3, 7, 5, 11, 7, 4, 5, 7, 6, 12, 7, 5, 9, 9, 6, 1664, 7, 4, 6,
  7, 8, 34, 9, 5, 128, 7, 8, 50, 7, 6, 14, 7, 8, 62, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 8, 48, 7, 4, 3, 7, 8, 60, 7, 4, 5,
  7, 8, 42, 7, 6, 16, 9, 9, 1152, 7, 4, 6, 7, 8, 32, 7, 5, 8, 7, 8, 58, 9, 5, 64, 7, 5, 10, 7, 4, 4, 7, 4, 2, 7, 4, 7,
  7, 7, 22, 7, 4, 3, 7, 5, 11, 7, 4, 5, 7, 7, 26, 7, 5, 9, 9, 8, 640, 7, 4, 6, 7, 8, 38, 9, 5, 128, 7, 7, 25, 7, 6, 15,
  9, 8, 384, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 6, 13, 7, 4, 3, 7, 7, 18, 7, 4, 5, 7, 7, 21, 7, 6, 17, 9, 7, 256, 7, 4, 6,
  7, 6, 1, 7, 5, 8, 9, 6, 192, 9, 5, 64, 7, 5, 10, 7, 4, 4, 7, 4, 2, 7, 4, 7, 0, 0, 0, 7, 4, 3, 7, 5, 11, 7, 4, 5,
  7, 6, 12, 7, 5, 9, 9, 6, 1664, 7, 4, 6, 7, 7, 20, 9, 5, 128, 7, 7, 24, 7, 6, 14, 7, 7, 28, 7, 4, 4, 7, 4, 2, 7, 4, 7,
  7, 7, 23, 7, 4, 3, 7, 7, 27, 7, 4, 5, 7, 8, 39, 7, 6, 16, 9, 8, 576, 7, 4, 6, 7, 7, 19, 7, 5, 8, 7, 8, 55, 9, 5, 64,
  7, 5, 10, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 8, 45, 7, 4, 3, 7, 5, 11, 7, 4, 5, 7, 8, 53, 7, 5, 9, 9, 8, 448, 7, 4, 6,
  7, 8, 35, 9, 5, 128, 7, 8, 51, 7, 6, 15, 7, 8, 63, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 6, 13, 7, 4, 3, 9, 9, 1472, 7, 4, 5,
  7, 8, 43, 7, 6, 17, 9, 9, 1216, 7, 4, 6, 7, 6, 1, 7, 5, 8, 9, 6, 192, 9, 5, 64, 7, 5, 10, 7, 4, 4, 7, 4, 2, 7, 4, 7,
  7, 8, 29, 7, 4, 3, 7, 5, 11, 7, 4, 5, 7, 6, 12, 7, 5, 9, 9, 6, 1664, 7, 4, 6, 7, 8, 33, 9, 5, 128, 7, 8, 49, 7, 6, 14,
  7, 8, 61, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 8, 47, 7, 4, 3, 7, 8, 59, 7, 4, 5, 7, 8, 41, 7, 6, 16, 9, 9, 960, 7, 4, 6,
  7, 8, 31, 7, 5, 8, 7, 8, 57, 9, 5, 64, 7, 5, 10, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 7, 22, 7, 4, 3, 7, 5, 11, 7, 4, 5,
  7, 7, 26, 7, 5, 9, 9, 9, 704, 7, 4, 6, 7, 8, 37, 9, 5, 128, 7, 7, 25, 7, 6, 15, 9, 8, 320, 7, 4, 4, 7, 4, 2, 7, 4, 7,
  7, 6, 13, 7, 4, 3, 7, 7, 18, 7, 4, 5, 7, 7, 21, 7, 6, 17, 9, 7, 256, 7, 4, 6, 7, 6, 1, 7, 5, 8, 9, 6, 192, 9, 5, 64,
  7, 5, 10, 7, 4, 4, 7, 4, 2, 7, 4, 7, 11, 12, 2304, 7, 4, 3, 7, 5, 11, 7, 4, 5, 7, 6, 12, 7, 5, 9, 9, 6, 1664, 7, 4, 6,
  7, 7, 20, 9, 5, 128, 7, 7, 24, 7, 6, 14, 7, 7, 28, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 7, 23, 7, 4, 3, 7, 7, 27, 7, 4, 5,
  7, 8, 40, 7, 6, 16, 9, 9, 832, 7, 4, 6, 7, 7, 19, 7, 5, 8, 7, 8, 56, 9, 5, 64, 7, 5, 10, 7, 4, 4, 7, 4, 2, 7, 4, 7,
  7, 8, 46, 7, 4, 3, 7, 5, 11, 7, 4, 5, 7, 8, 54, 7, 5, 9, 9, 8, 512, 7, 4, 6, 7, 8, 36, 9, 5, 128, 7, 8, 52, 7, 6, 15,
  7, 8, 0, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 6, 13, 7, 4, 3, 9, 9, 1600, 7, 4, 5, 7, 8, 44, 7, 6, 17, 9, 9, 1344, 7, 4, 6,
  7, 6, 1, 7, 5, 8, 9, 6, 192, 9, 5, 64, 7, 5, 10, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 8, 30, 7, 4, 3, 7, 5, 11, 7, 4, 5,
  7, 6, 12, 7, 5, 9, 9, 6, 1664, 7, 4, 6, 7, 8, 34, 9, 5, 128, 7, 8, 50, 7, 6, 14, 7, 8, 62, 7, 4, 4, 7, 4, 2, 7, 4, 7,
  7, 8, 48, 7, 4, 3, 7, 8, 60, 7, 4, 5, 7, 8, 42, 7, 6, 16, 9, 9, 1088, 7, 4, 6, 7, 8, 32, 7, 5, 8, 7, 8, 58, 9, 5, 64,
  7, 5, 10, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 7, 22, 7, 4, 3, 7, 5, 11, 7, 4, 5, 7, 7, 26, 7, 5, 9, 9, 8, 640, 7, 4, 6,
  7, 8, 38, 9, 5, 128, 7, 7, 25, 7, 6, 15, 9, 8, 384, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 6, 13, 7, 4, 3, 7, 7, 18, 7, 4, 5,
  7, 7, 21, 7, 6, 17, 9, 7, 256, 7, 4, 6, 7, 6, 1, 7, 5, 8, 9, 6, 192, 9, 5, 64, 7, 5, 10, 7, 4, 4, 7, 4, 2, 7, 4, 7,
  0, 0, 0, 7, 4, 3, 7, 5, 11, 7, 4, 5, 7, 6, 12, 7, 5, 9, 9, 6, 1664, 7, 4, 6, 7, 7, 20, 9, 5, 128, 7, 7, 24, 7, 6, 14,
  7, 7, 28, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 7, 23, 7, 4, 3, 7, 7, 27, 7, 4, 5, 7, 8, 39, 7, 6, 16, 9, 8, 576, 7, 4, 6,
  7, 7, 19, 7, 5, 8, 7, 8, 55, 9, 5, 64, 7, 5, 10, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 8, 45, 7, 4, 3, 7, 5, 11, 7, 4, 5,
  7, 8, 53, 7, 5, 9, 9, 8, 448, 7, 4, 6, 7, 8, 35, 9, 5, 128, 7, 8, 51, 7, 6, 15, 7, 8, 63, 7, 4, 4, 7, 4, 2, 7, 4, 7,
  7, 6, 13, 7, 4, 3, 9, 9, 1536, 7, 4, 5, 7, 8, 43, 7, 6, 17, 9, 9, 1280, 7, 4, 6, 7, 6, 1, 7, 5, 8, 9, 6, 192, 9, 5, 64,
  7, 5, 10, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 8, 29, 7, 4, 3, 7, 5, 11, 7, 4, 5, 7, 6, 12, 7, 5, 9, 9, 6, 1664, 7, 4, 6,
  7, 8, 33, 9, 5, 128, 7, 8, 49, 7, 6, 14, 7, 8, 61, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 8, 47, 7, 4, 3, 7, 8, 59, 7, 4, 5,
  7, 8, 41, 7, 6, 16, 9, 9, 1024, 7, 4, 6, 7, 8, 31, 7, 5, 8, 7, 8, 57, 9, 5, 64, 7, 5, 10, 7, 4, 4, 7, 4, 2, 7, 4, 7,
  7, 7, 22, 7, 4, 3, 7, 5, 11, 7, 4, 5, 7, 7, 26, 7, 5, 9, 9, 9, 768, 7, 4, 6, 7, 8, 37, 9, 5, 128, 7, 7, 25, 7, 6, 15,
  9, 8, 320, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 6, 13, 7, 4, 3, 7, 7, 18, 7, 4, 5, 7, 7, 21, 7, 6, 17, 9, 7, 256, 7, 4, 6,
  7, 6, 1, 7, 5, 8, 9, 6, 192, 9, 5, 64, 7, 5, 10, 7, 4, 4, 7, 4, 2, 7, 4, 7, 11, 12, 2560, 7, 4, 3, 7, 5, 11, 7, 4, 5,
  7, 6, 12, 7, 5, 9, 9, 6, 1664, 7, 4, 6, 7, 7, 20, 9, 5, 128, 7, 7, 24, 7, 6, 14, 7, 7, 28, 7, 4, 4, 7, 4, 2, 7, 4, 7,
  7, 7, 23, 7, 4, 3, 7, 7, 27, 7, 4, 5, 7, 8, 40, 7, 6, 16, 9, 9, 896, 7, 4, 6, 7, 7, 19, 7, 5, 8, 7, 8, 56, 9, 5, 64,
  7, 5, 10, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 8, 46, 7, 4, 3, 7, 5, 11, 7, 4, 5, 7, 8, 54, 7, 5, 9, 9, 8, 512, 7, 4, 6,
  7, 8, 36, 9, 5, 128, 7, 8, 52, 7, 6, 15, 7, 8, 0, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 6, 13, 7, 4, 3, 9, 9, 1728, 7, 4, 5,
  7, 8, 44, 7, 6, 17, 9, 9, 1408, 7, 4, 6, 7, 6, 1, 7, 5, 8, 9, 6, 192, 9, 5, 64, 7, 5, 10, 7, 4, 4, 7, 4, 2, 7, 4, 7,
  7, 8, 30, 7, 4, 3, 7, 5, 11, 7, 4, 5, 7, 6, 12, 7, 5, 9, 9, 6, 1664, 7, 4, 6, 7, 8, 34, 9, 5, 128, 7, 8, 50, 7, 6, 14,
  7, 8, 62, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 8, 48, 7, 4, 3, 7, 8, 60, 7, 4, 5, 7, 8, 42, 7, 6, 16, 9, 9, 1152, 7, 4, 6,
  7, 8, 32, 7, 5, 8, 7, 8, 58, 9, 5, 64, 7, 5, 10, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 7, 22, 7, 4, 3, 7, 5, 11, 7, 4, 5,
  7, 7, 26, 7, 5, 9, 9, 8, 640, 7, 4, 6, 7, 8, 38, 9, 5, 128, 7, 7, 25, 7, 6, 15, 9, 8, 384, 7, 4, 4, 7, 4, 2, 7, 4, 7,
  7, 6, 13, 7, 4, 3, 7, 7, 18, 7, 4, 5, 7, 7, 21, 7, 6, 17, 9, 7, 256, 7, 4, 6, 7, 6, 1, 7, 5, 8, 9, 6, 192, 9, 5, 64,
  7, 5, 10, 7, 4, 4, 7, 4, 2, 7, 4, 7
};
const TIFFFaxTabEnt TIFFFaxBlackTable[8192] = {
  12, 11, 0, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 9, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 10, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 8, 13, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 8, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 9, 15, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 10, 18, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 6, 9, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 11, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 10, 17, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 8, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 12, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 11, 11, 1792, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 9, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 7, 10, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 11, 23, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 6, 8, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 11, 20, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 11, 25, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 9, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 11, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 8, 14, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 8, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 7, 12, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 0, 0, 0, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 6, 9, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 10, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 8, 13, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 8, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 10, 12, 128, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 12, 56, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 9, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 7, 11, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 12, 30, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 6, 8, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 12, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  11, 11, 1856, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 9, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 10, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 12, 57, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 8, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 11, 21, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 12, 54, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 6, 9, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 11, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 8, 14, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 8, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 12, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 0, 0, 0, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 9, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 7, 10, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 8, 13, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 6, 8, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 9, 15, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 12, 52, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 9, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 11, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 12, 48, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 8, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 7, 12, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 11, 12, 2112, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 6, 9, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 10, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 12, 44, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 8, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 12, 36, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 10, 12, 384, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 9, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 7, 11, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 8, 14, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 6, 8, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 12, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  0, 0, 0, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 9, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 10, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 8, 13, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 8, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 12, 28, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 12, 60, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 6, 9, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 11, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 12, 40, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 8, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 12, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 11, 12, 2368, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 9, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 7, 10, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 10, 16, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 6, 8, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 10, 0, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  10, 10, 64, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 9, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 11, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 8, 14, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 8, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 7, 12, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 0, 0, 0, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 6, 9, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 10, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 8, 13, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 8, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 9, 15, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 10, 18, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 9, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 7, 11, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 10, 17, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 6, 8, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 12, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  11, 12, 1984, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 9, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 10, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 12, 50, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 8, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 12, 34, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 10, 13, 1664, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 6, 9, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 11, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 8, 14, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 8, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 12, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 0, 0, 0, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 9, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 7, 10, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 8, 13, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 6, 8, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 12, 26, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  10, 13, 1408, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 9, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 11, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 12, 32, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 8, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 7, 12, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 11, 11, 1920, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 6, 9, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 10, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 12, 61, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 8, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 12, 42, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 10, 13, 1024, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 9, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 7, 11, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 8, 14, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 6, 8, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 12, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  0, 0, 0, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 9, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 10, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 8, 13, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 8, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 9, 15, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 10, 13, 768, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 6, 9, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 11, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 12, 62, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 8, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 12, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 11, 12, 2240, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 9, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 7, 10, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 12, 46, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 6, 8, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 12, 38, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  10, 13, 512, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 9, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 11, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 8, 14, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 8, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 7, 12, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 0, 0, 0, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 6, 9, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 10, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 8, 13, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 8, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 11, 19, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 11, 24, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 9, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 7, 11, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 11, 22, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 6, 8, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 12, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  11, 12, 2496, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 9, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 10, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 10, 16, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 8, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 10, 0, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 10, 10, 64, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 6, 9, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 11, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 8, 14, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 8, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 12, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 12, 11, 0, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 9, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 7, 10, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 8, 13, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 6, 8, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 9, 15, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 10, 18, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 9, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 11, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 10, 17, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 8, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 7, 12, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 11, 11, 1792, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 6, 9, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 10, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 11, 23, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 8, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 11, 20, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 11, 25, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 9, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 7, 11, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 8, 14, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 6, 8, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 12, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  0, 0, 0, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 9, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 10, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 8, 13, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 8, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  10, 12, 192, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 10, 13, 1280, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 6, 9, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 11, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 12, 31, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 8, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 12, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 11, 11, 1856, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 9, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 7, 10, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 12, 58, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 6, 8, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 11, 21, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  10, 13, 896, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 9, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 11, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 8, 14, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 8, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 7, 12, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 0, 0, 0, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 6, 9, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 10, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 8, 13, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 8, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 9, 15, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 10, 13, 640, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 9, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 7, 11, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 12, 49, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 6, 8, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 12, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  11, 12, 2176, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 9, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 10, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 12, 45, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 8, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 12, 37, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 10, 12, 448, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 6, 9, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 11, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 8, 14, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 8, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 12, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 0, 0, 0, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 9, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 7, 10, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 8, 13, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 6, 8, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 12, 29, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  10, 13, 1536, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 9, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 11, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 12, 41, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 8, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 7, 12, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 11, 12, 2432, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 6, 9, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 10, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 10, 16, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 8, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 10, 0, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 10, 10, 64, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 9, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 7, 11, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 8, 14, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 6, 8, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 12, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  0, 0, 0, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 9, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 10, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 8, 13, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 8, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 9, 15, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 10, 18, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 6, 9, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 11, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 10, 17, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 8, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 12, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 11, 12, 2048, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 9, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 7, 10, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 12, 51, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 6, 8, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 12, 35, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  10, 12, 320, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 9, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 11, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 8, 14, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 8, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 7, 12, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 0, 0, 0, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 6, 9, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 10, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 8, 13, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 8, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 12, 27, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 12, 59, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 9, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 7, 11, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 12, 33, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 6, 8, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 12, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  11, 11, 1920, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 9, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 10, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 10, 12, 256, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 8, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 12, 43, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 10, 13, 1152, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 6, 9, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 11, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 8, 14, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 8, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 12, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 0, 0, 0, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 9, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 7, 10, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 8, 13, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 6, 8, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 9, 15, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 12, 55, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 9, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 11, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 12, 63, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 8, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 7, 12, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 11, 12, 2304, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 6, 9, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 10, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 12, 47, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 8, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 12, 39, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 12, 53, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 9, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 7, 11, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 8, 14, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 6, 8, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 12, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  0, 0, 0, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 9, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 10, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 8, 13, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 8, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 11, 19, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 11, 24, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 6, 9, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 11, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 11, 22, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 8, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 12, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 11, 12, 2560, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 9, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 7, 10, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 10, 16, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 6, 8, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 10, 0, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  10, 10, 64, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 9, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 11, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 8, 14, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 8, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 7, 12, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 12, 11, 0, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 6, 9, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 10, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 8, 13, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 8, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 9, 15, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 10, 18, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 9, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 7, 11, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 10, 17, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 6, 8, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 12, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  11, 11, 1792, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 9, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 10, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 11, 23, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 8, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 11, 20, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 11, 25, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 6, 9, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 11, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 8, 14, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 8, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 12, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 0, 0, 0, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 9, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 7, 10, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 8, 13, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 6, 8, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 10, 12, 128, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 12, 56, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 9, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 11, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 12, 30, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 8, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 7, 12, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 11, 11, 1856, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 6, 9, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 10, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 12, 57, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 8, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 11, 21, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 12, 54, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 9, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 7, 11, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 8, 14, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 6, 8, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 12, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  0, 0, 0, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 9, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 10, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 8, 13, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 8, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 9, 15, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 12, 52, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 6, 9, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 11, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 12, 48, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 8, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 12, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 11, 12, 2112, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 9, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 7, 10, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 12, 44, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 6, 8, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 12, 36, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  10, 12, 384, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 9, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 11, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 8, 14, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 8, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 7, 12, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 0, 0, 0, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 6, 9, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 10, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 8, 13, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 8, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 12, 28, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 12, 60, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 9, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 7, 11, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 12, 40, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 6, 8, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 12, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  11, 12, 2368, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 9, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 10, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 10, 16, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 8, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 10, 0, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 10, 10, 64, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 6, 9, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 11, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 8, 14, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 8, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 12, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 0, 0, 0, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 9, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 7, 10, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 8, 13, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 6, 8, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 9, 15, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 10, 18, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 9, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 11, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 10, 17, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 8, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 7, 12, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 11, 12, 1984, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 6, 9, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 10, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 12, 50, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 8, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 12, 34, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 10, 13, 1728, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 9, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 7, 11, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 8, 14, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 6, 8, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 12, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  0, 0, 0, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 9, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 10, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 8, 13, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 8, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 12, 26, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 10, 13, 1472, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 6, 9, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 11, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 12, 32, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 8, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 12, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 11, 11, 1920, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 9, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 7, 10, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 12, 61, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 6, 8, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 12, 42, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  10, 13, 1088, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 9, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 11, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 8, 14, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 8, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 7, 12, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 0, 0, 0, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 6, 9, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 10, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 8, 13, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 8, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 9, 15, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 10, 13, 832, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 9, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 7, 11, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 12, 62, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 6, 8, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 12, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  11, 12, 2240, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 9, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 10, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 12, 46, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 8, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 12, 38, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 10, 13, 576, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 6, 9, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 11, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 8, 14, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 8, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 12, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 0, 0, 0, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 9, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 7, 10, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 8, 13, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 6, 8, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 11, 19, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 11, 24, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 9, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 11, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 11, 22, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 8, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 7, 12, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 11, 12, 2496, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 6, 9, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 10, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 10, 16, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 8, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 10, 0, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 10, 10, 64, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 9, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 7, 11, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 8, 14, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 6, 8, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 12, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  12, 11, 0, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 9, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 10, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 8, 13, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 8, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 9, 15, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 10, 18, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 6, 9, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 11, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 10, 17, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 8, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 12, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 11, 11, 1792, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 9, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 7, 10, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 11, 23, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 6, 8, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 11, 20, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 11, 25, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 9, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 11, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 8, 14, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 8, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 7, 12, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 0, 0, 0, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 6, 9, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 10, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 8, 13, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 8, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 10, 12, 192, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 10, 13, 1344, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 9, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 7, 11, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 12, 31, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 6, 8, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 12, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  11, 11, 1856, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 9, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 10, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 12, 58, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 8, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 11, 21, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 10, 13, 960, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 6, 9, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 11, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 8, 14, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 8, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 12, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 0, 0, 0, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 9, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 7, 10, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 8, 13, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 6, 8, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 9, 15, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  10, 13, 704, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 9, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 11, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 12, 49, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 8, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 7, 12, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 11, 12, 2176, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 6, 9, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 10, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 12, 45, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 8, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 12, 37, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 10, 12, 448, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 9, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 7, 11, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 8, 14, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 6, 8, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 12, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  0, 0, 0, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 9, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 10, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 8, 13, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 8, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 12, 29, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 10, 13, 1600, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 6, 9, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 11, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 12, 41, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 8, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 12, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 11, 12, 2432, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 9, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 7, 10, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 10, 16, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 6, 8, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 10, 0, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  10, 10, 64, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 9, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 11, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 8, 14, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 8, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 7, 12, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 0, 0, 0, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 6, 9, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 10, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 8, 13, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 8, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 9, 15, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 10, 18, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 9, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 7, 11, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 10, 17, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 6, 8, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 12, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  11, 12, 2048, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 9, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 10, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 12, 51, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 8, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 12, 35, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 10, 12, 320, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 6, 9, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 11, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 8, 14, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 8, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 12, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 0, 0, 0, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 9, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 7, 10, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 8, 13, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 6, 8, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 12, 27, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 12, 59, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 9, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 11, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 12, 33, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 8, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 7, 12, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 11, 11, 1920, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 6, 9, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 10, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  10, 12, 256, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 8, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 12, 43, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 10, 13, 1216, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 9, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 7, 11, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 8, 14, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 6, 8, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 12, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  0, 0, 0, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 9, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 10, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 8, 13, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 8, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 9, 15, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 12, 55, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 6, 9, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 11, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 12, 63, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 8, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 12, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 11, 12, 2304, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 9, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 7, 10, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 12, 47, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 6, 8, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 12, 39, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 12, 53, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 9, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 11, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 8, 14, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 8, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 7, 12, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 0, 0, 0, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 6, 9, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 10, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 8, 13, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 8, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 11, 19, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 11, 24, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 9, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 7, 11, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 11, 22, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 6, 8, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 12, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  11, 12, 2560, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 9, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 10, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 10, 16, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 8, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 10, 0, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 10, 10, 64, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 6, 9, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 11, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 8, 14, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 8, 8, 2, 3, 8, 3, 1, 8, 2, 2,
  8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 12, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
  8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2
};
